The maximum hands-off control aims at minimizing the length of time during which the control input value is nonzero, while achieving given control objectives [1]}, [2]}. For a finite-time discrete-time control problem, typically it can be formulated as
\(\begin{aligned}\min _{u} \ \Vert u\Vert _0 \\\text{subject to } & {\left\lbrace \begin{array}{ll}\text{system equation}\\\text{performance constraint}\end{array}\right.}\end{aligned}\) 
